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Simplifying 3(y + -1) = 4(y + 2) Reorder the terms: 3(-1 + y) = 4(y + 2) (-1 * 3 + y * 3) = 4(y + 2) (-3 + 3y) = 4(y + 2) Reorder the terms: -3 + 3y = 4(2 + y) -3 + 3y = (2 * 4 + y * 4) -3 + 3y = (8 + 4y) Solving -3 + 3y = 8 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -3 + 3y + -4y = 8 + 4y + -4y Combine like terms: 3y + -4y = -1y -3 + -1y = 8 + 4y + -4y Combine like terms: 4y + -4y = 0 -3 + -1y = 8 + 0 -3 + -1y = 8 Add '3' to each side of the equation. -3 + 3 + -1y = 8 + 3 Combine like terms: -3 + 3 = 0 0 + -1y = 8 + 3 -1y = 8 + 3 Combine like terms: 8 + 3 = 11 -1y = 11 Divide each side by '-1'. y = -11 Simplifying y = -11
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